Translating Algebra!

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Formulating algebraic expressions, equations, and inequalities from written form.

Formulating algebraic expressions, equations, and inequalities from written form.

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  • 1. Translating Algebra!
  • 2. Translating words to algebraic expressions, equations, and inequalities is a lot like translating between foreign languages.
  • 3. For example…
    • In english we say “hello” to greet someone.
    • In Spanish, we say “hola”.
    • So hello is the same as hola in different languages.
  • 4. In math we use letters, numbers, and symbols to represent words.
  • 5. For example…
    • If I told you to use numbers and symbols to represent two times seven, what would you write?
    • You should write 2 × 7
  • 6. In order to properly translate between words and algebra, we need to fill out our worksheet. Lets think of words that represent these operations!
  • 7. EQUAL DIVISION MULTIPLICATION SUBTRACTION ADDITION
  • 8. Let’s also look at words and symbols for inequalities.
    • Is greater than
    • Is less than
    • Is greater than or equal to
    • Is less than or equal to
    • >
    • <
  • 9. There are also words to represent variables
    • A number
    • An unknown value
  • 10. Let’s talk about THAN
    • Less than is a special phrase.
    • If the sentence says something is less than something else, you REVERSE the order and subtract.
    • Example…
    • Twelve LESS THAN a number is eight.
    • x – 12 = 8
  • 11. Let’s look at a few examples
    • The product of three and a number
    • Thirty more than twice a number
    • The difference of a number and eight is equal to 14.
  • 12. Here’s a few more
    • Six less than nine times a number is equal to 39.
    • Fifty-five more than a number is greater than 60.
    • The quotient of four times a number and seven is less than or equal to 56.
  • 13. Get out your classwork sheet. It says Mathematical Translations Classwork.
  • 14. Try these and see how you do! We’ll go over it in just a minute!!!
  • 15.
    • Part 1: Translate each written expression into a mathematical sentence.
    • Nine more than a number ___________
    • 2. Three more than half a number ____________
    • 3. Five squared minus a number _____________
    • 4. Sixteen divided by a number _____________
  • 16. 5. The product of seven and a number y is forty-two _______________________ 6. The quotient of a number and seven is thirty-three ________________________ 7. Four times a number x decreased by eleven ________________________ 8. Four times the quantity of a number n minus eleven ________________________
  • 17. 9. 4x ______________________ 10. 29 – x ______________________ 11. 7y = 42 ______________________ 12. x + 10 = 24 ______________________ 13. 11x + 4 ______________________ 14. 5 – 8 = 4y ______________________ 15. 3(x – 2) = 10 ______________________ 16. ½x ______________________
  • 18. Make sure you study your Algebra vocabulary! You will have to know it for your next quiz!!!